Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616cc |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-866214817776 = -1 · 24 · 315 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2373,-5047] |
[a1,a2,a3,a4,a6] |
j |
369381632/216513 |
j-invariant |
L |
2.0916253464432 |
L(r)(E,1)/r! |
Ω |
0.52290632922869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808r1 25872c1 77616ce1 |
Quadratic twists by: -4 -3 -7 |